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SRS_Standard 2019-03-29 03.29 pair #432289920
details
property
value
status
complete
benchmark
size-12-alpha-3-num-190.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
43.7201 seconds
cpu usage
171.296
user time
167.339
system time
3.95653
max virtual memory
7117640.0
max residence set size
90888.0
stage attributes
key
value
starexec-result
YES
output
171.17/43.70 YES 171.17/43.71 171.17/43.71 Problem: 171.17/43.71 a(x1) -> x1 171.17/43.71 a(b(x1)) -> b(b(a(a(c(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 171.17/43.71 Proof: 171.17/43.71 String Reversal Processor: 171.17/43.71 a(x1) -> x1 171.17/43.71 b(a(x1)) -> c(a(a(b(b(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 DP Processor: 171.17/43.71 DPs: 171.17/43.71 b#(a(x1)) -> b#(x1) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) 171.17/43.71 b#(a(x1)) -> a#(b(b(x1))) 171.17/43.71 b#(a(x1)) -> a#(a(b(b(x1)))) 171.17/43.71 b#(a(x1)) -> c#(a(a(b(b(x1))))) 171.17/43.71 TRS: 171.17/43.71 a(x1) -> x1 171.17/43.71 b(a(x1)) -> c(a(a(b(b(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 TDG Processor: 171.17/43.71 DPs: 171.17/43.71 b#(a(x1)) -> b#(x1) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) 171.17/43.71 b#(a(x1)) -> a#(b(b(x1))) 171.17/43.71 b#(a(x1)) -> a#(a(b(b(x1)))) 171.17/43.71 b#(a(x1)) -> c#(a(a(b(b(x1))))) 171.17/43.71 TRS: 171.17/43.71 a(x1) -> x1 171.17/43.71 b(a(x1)) -> c(a(a(b(b(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 graph: 171.17/43.71 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(a(b(b(x1)))) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> a#(b(b(x1))) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(b(x1)) 171.17/43.71 b#(a(x1)) -> b#(b(x1)) -> b#(a(x1)) -> b#(x1) 171.17/43.71 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> c#(a(a(b(b(x1))))) 171.17/43.71 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(a(b(b(x1)))) 171.17/43.71 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> a#(b(b(x1))) 171.17/43.71 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(b(x1)) 171.17/43.71 b#(a(x1)) -> b#(x1) -> b#(a(x1)) -> b#(x1) 171.17/43.71 SCC Processor: 171.17/43.71 #sccs: 1 171.17/43.71 #rules: 2 171.17/43.71 #arcs: 10/25 171.17/43.71 DPs: 171.17/43.71 b#(a(x1)) -> b#(b(x1)) 171.17/43.71 b#(a(x1)) -> b#(x1) 171.17/43.71 TRS: 171.17/43.71 a(x1) -> x1 171.17/43.71 b(a(x1)) -> c(a(a(b(b(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 Arctic Interpretation Processor: 171.17/43.71 dimension: 2 171.17/43.71 usable rules: 171.17/43.71 a(x1) -> x1 171.17/43.71 b(a(x1)) -> c(a(a(b(b(x1))))) 171.17/43.71 b(x1) -> x1 171.17/43.71 c(a(c(x1))) -> x1 171.17/43.71 interpretation: 171.17/43.71 [b#](x0) = [0 2]x0, 171.17/43.71 171.17/43.71 [1 0 ] [0] 171.17/43.71 [c](x0) = [0 -&]x0 + [0], 171.17/43.71 171.17/43.71 [0 1 ] [0 ] 171.17/43.71 [b](x0) = [-& 0 ]x0 + [-&], 171.17/43.71 171.17/43.71 [0 0] [0] 171.17/43.71 [a](x0) = [0 1]x0 + [0] 171.17/43.71 orientation: 171.17/43.71 b#(a(x1)) = [2 3]x1 + [2] >= [0 2]x1 + [0] = b#(b(x1)) 171.17/43.71 171.17/43.71 b#(a(x1)) = [2 3]x1 + [2] >= [0 2]x1 = b#(x1) 171.17/43.71 171.17/43.71 [0 0] [0] 171.17/43.71 a(x1) = [0 1]x1 + [0] >= x1 = x1 171.17/43.71 171.17/43.71 [1 2] [1] [1 2] [1] 171.17/43.71 b(a(x1)) = [0 1]x1 + [0] >= [0 1]x1 + [0] = c(a(a(b(b(x1))))) 171.17/43.71 171.17/43.71 [0 1 ] [0 ] 171.17/43.71 b(x1) = [-& 0 ]x1 + [-&] >= x1 = x1 171.17/43.71 171.17/43.71 [2 1] [1] 171.17/43.71 c(a(c(x1))) = [1 0]x1 + [0] >= x1 = x1 171.17/43.71 problem: 171.17/43.71 DPs: 171.17/43.71 171.17/43.71 TRS: 171.17/43.71 a(x1) -> x1
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